Answer:
x = 60 degrees, y = 120 degrees, z = 30 degrees
Step-by-step explanation:
To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle. This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure. Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:
x + x + x = 180
3x = 180
x = 60 degrees
Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees. This lets us write the following equation:
y + 60 = 180
When we subtract 60 from both sides to solve, we get:
y = 120 degrees
Finally, we should notice that the triangle on the right is isosceles. This means that two of the side lengths (and thus two of the angles) are equal. This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal. From this information we can write the following equation:
y + z + z = 180
If we substitute the value for y and solve, we get:
120 + 2z = 180
2z = 60
z = 30 degrees
Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.
Hope this helps!
Answer:
$64,208.33
Step-by-step explanation:
100% - 33% = 67%
Since she pays 33% in taxes, she will only get 67% of the $23 million.
1 year = 12 months
20 years = 20 × 12 months = 240 months
There are 240 months in 20 years.
monthly amount = 67% of $23 million / 240
monthly amount = 0.67 × $23,000,000 / 240
monthly amount = $64,208.33
D is your answer.
Hope this helps & good luck. :)
The nearest hundreth is .300
